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Finding the Third Proportional to 19,219.78 and 41,313.80

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Solution

The third proportional to 19,219.78 and 41,313.80 is: 88,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,219.78 : 41,313.80 = 41,313.80 : x
  2. Step 2: Convert to fraction form
    19,219.78/41,313.80 = 41,313.80/x
  3. Step 3: Cross multiply
    19,219.78x = 41,313.80 × 41,313.80
  4. Step 4: Simplify right side
    19,219.78x = 1,706,829,812.23
  5. Step 5: Solve for x
    x = 1,706,829,812.23/19,219.78
  6. Step 6: Final answer
    x = 88,805.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.